Long only 1/n portfolio#
import pandas as pd
pd.options.plotting.backend = "plotly"
import yfinance as yf
from cvx.simulator.builder import builder
from cvx.simulator.grid import resample_index
data = yf.download(tickers = "SPY AAPL GOOG MSFT", # list of tickers
period = "10y", # time period
interval = "1d", # trading interval
prepost = False, # download pre/post market hours data?
repair = True) # repair obvious price errors e.g. 100x?
[ 0% ]
[**********************50% ] 2 of 4 completed
[**********************75%*********** ] 3 of 4 completed
[*********************100%***********************] 4 of 4 completed
prices = data["Adj Close"]
capital = 1e6
b = builder(prices=prices, initial_cash=capital)
for time, state in b:
# each day we invest a quarter of the capital in the assets
b[time[-1]] = 0.25 * state.nav / state.prices
portfolio = b.build()
portfolio.profit.cumsum().plot()
portfolio.nav.plot()
Rebalancing#
Usually we would not execute on a daily basis but rather rebalance every week, month or quarter. There are two approaches to deal with this problem in cvxsimulator.
Resample the existing daily portfolio (helpful to see effect of your hesitated trading)
Trade only on days that are within a predefined grid (most flexible if you have a rather irregular grid)
Resample an existing portfolio#
portfolio_resampled = portfolio.resample(rule="M")
frame = pd.DataFrame({"original": portfolio.nav, "monthly": portfolio_resampled.nav})
frame
| original | monthly | |
|---|---|---|
| Date | ||
| 2013-07-29 | 1.000000e+06 | 1.000000e+06 |
| 2013-07-30 | 1.007996e+06 | 1.007996e+06 |
| 2013-07-31 | 1.006760e+06 | 1.006755e+06 |
| 2013-08-01 | 1.015303e+06 | 1.015283e+06 |
| 2013-08-02 | 1.021414e+06 | 1.021394e+06 |
| ... | ... | ... |
| 2023-07-20 | 8.187657e+06 | 8.168525e+06 |
| 2023-07-21 | 8.170108e+06 | 8.150527e+06 |
| 2023-07-24 | 8.222468e+06 | 8.202683e+06 |
| 2023-07-25 | 8.287671e+06 | 8.267970e+06 |
| 2023-07-26 | 8.335346e+06 | 8.313812e+06 |
2516 rows × 2 columns
print(portfolio_resampled.stocks)
AAPL GOOG MSFT SPY
Date
2013-07-29 18005.506109 11376.883033 9511.934258 1781.536480
2013-07-30 18005.506109 11376.883033 9511.934258 1781.536480
2013-07-31 18005.506109 11376.883033 9511.934258 1781.536480
2013-08-01 17925.178883 11270.580509 9617.851939 1786.860041
2013-08-02 17925.178883 11270.580509 9617.851939 1786.860041
... ... ... ... ...
2023-07-20 10525.160564 16802.194043 5993.291314 4564.484179
2023-07-21 10525.160564 16802.194043 5993.291314 4564.484179
2023-07-24 10525.160564 16802.194043 5993.291314 4564.484179
2023-07-25 10525.160564 16802.194043 5993.291314 4564.484179
2023-07-26 10525.160564 16802.194043 5993.291314 4564.484179
[2516 rows x 4 columns]
# almost hard to see that difference between the original and resampled portfolio
frame.plot()
# number of shares traded
portfolio_resampled.trades_stocks.iloc[1:].plot()
Trade only days in predefined grid#
b = builder(prices=prices, initial_cash=capital)
# define a grid
grid = resample_index(prices.index, rule="M")
for time, state in b:
# each day we invest a quarter of the capital in the assets
if time[-1] in grid:
b[time[-1]] = 0.25 * state.nav / state.prices
else:
# forward fill an existing position
b[time[-1]] = b[time[-2]]
portfolio = b.build()
portfolio.nav.plot()
# Trading only once a month can lead to days where 150k had to be reallocated
portfolio.turnover.iloc[1:].plot()
Why not resampling the prices?#
I don’t believe in bringing the prices to a monthly grid. This would render it hard to construct signals given the sparse grid. We stay on a daily grid and trade once a month.